An extended two-lane traffic flow lattice model with driver’s delay time
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In this paper, a new two-lane lattice model is presented by considering the effect of drivers’ delay in sensing relative flux. By means of the linear stability analysis, the effect of drivers’ delay time on the stability of two-lane traffic flow is examined and shown that with the drivers’ delay time increasing, the unstable areas expand accordingly on the phase diagram, which is also confirmed by direct computer simulations. Through nonlinear analysis method, the modified Korteweg–deVries equation near the critical point is obtained and solved to describe the traffic- jamming transitions in a two-lane system.
KeywordsDrivers’ delay time Two-lane lattice model MKdV equation Traffic flow
This paper is supported by the Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20090191110022) and Natural Science Foundation Project of CQ CSTC of China (Grant No. CSTC2012JJB40002) and Natural Science Foundation of Guangxi Zhuang Autonomous Region,China(Grant No.2013GXNSFAA019347).
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